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Finding the Fourth Proportional to 3,518.63, 5,274.14 and 2,286.92

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Solution

The fourth proportional to 3,518.63, 5,274.14 and 2,286.92 is: 3,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.63 : 5,274.14 = 2,286.92 : x
  2. Step 2: Convert to fraction form
    3,518.63/5,274.14 = 2,286.92/x
  3. Step 3: Cross multiply
    3,518.63x = 5,274.14 × 2,286.92
  4. Step 4: Simplify right side
    3,518.63x = 12,061,498.44
  5. Step 5: Solve for x
    x = 12,061,498.44/3,518.63
  6. Step 6: Final answer
    x = 3,427.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.